Question

Suppose that 60 percent of women who purchase over the counter pregnancy tests are actually pregnant....

Suppose that 60 percent of women who purchase over the counter pregnancy tests are actually pregnant. Call this event B.

1. what is Bc?

2. the probability that the pregnancy test id positive given that the person is pregnant is 0.96 (true positive). what is the probability that the pregnancy test is negative given that the person is pregnant? (False negative).

3. the probability that the pregnancy test is positive given that the person is not pregnant is 0.01 (false positive). what is the probability that the pregnancy test is negative given that the person is not pregnant? (true negative).

4. what is the probability that the person is pregnant given the pregnancy test is positive? P(B/A).

0 0
Add a comment Improve this question Transcribed image text
Answer #1

1)P(Bc) =1-P(B) =1-0.60 =0.40

2)

probability that the pregnancy test is negative given that the person is pregnant =1-0.96 =0.04

3)

probability that the pregnancy test is negative given that the person is not pregnant =1-0.01 =0.99

4)

P(B|A) =0.6*0.96/(0.6*0.96+0.4*0.01)=0.9931

Add a comment
Know the answer?
Add Answer to:
Suppose that 60 percent of women who purchase over the counter pregnancy tests are actually pregnant....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Janelle is taking a pregnancy test. She estimates that 0.5% of women at any given time...

    Janelle is taking a pregnancy test. She estimates that 0.5% of women at any given time are pregnant. Janelle takes an over-the-counter pregnancy test. The test tests positive (says your pregnant) for pregnant women 90% of the time. It gives a false positive 10% of the time. Janelle tests positive (the test says she is pregnant). What is the probability that Janelle is actually pregnant? Use a tree diagram and Bayes theorem to show if Janelle is actually pregnant.

  • A home pregnancy test was given to women, then pregnancy was verified through blood tests. The...

    A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results. PositiveNegativeTotal Pregnant78482 Not Pregnant95059 Total8754141 Find the following. Give answers as a reduced fraction or decimal to at least 4 decimal places. P(Positive | Pregnant) =     What is the probability that the woman is pregnant given that the test is positive?      Given that a woman is pregnant, what is the probability that the test is negative?    ...

  • Clear and detailed answers appreciated. I will like lifesaver! Problem 6 A website for home pregnancy...

    Clear and detailed answers appreciated. I will like lifesaver! Problem 6 A website for home pregnancy test cites the following: "When the subjects using the test were women who collected and tested their own samples, the overall sensitivityl was 75%. The specificity2 was 52%. Suppose a subject has a positive test and that 30% of women taking pregnancy tests are actually pregnant. [1] Sensitivity: probability that the test is positive given that the subject is pregnant. [2] Specificity: probability that...

  • L3 (a) 1-3. In 2010, in the U.S., the pregnancy rate among women 15-44 was 9.8%. There are many pregnancy tests out there. Nancy decided to use AccuBaby, because she saw the relatively high "a...

    L3 (a) 1-3. In 2010, in the U.S., the pregnancy rate among women 15-44 was 9.8%. There are many pregnancy tests out there. Nancy decided to use AccuBaby, because she saw the relatively high "accuracy" number (97% accurate). Accuracy is often misunderstood and confused with other measures like sensitivity and precision. We will interpret accuracy as the probability that a woman who is pregnant tests positive, and the probability of receiving a negative result if she is not pregnant. That...

  • The probability that an at home pregnancy test will correctly identify a pregnancy is 0.9. Suppose...

    The probability that an at home pregnancy test will correctly identify a pregnancy is 0.9. Suppose 17 randomly selected pregnant women with typical hormone levels are each given the test. Rounding your answer to four decimal places, find the probability that all 17 tests will be positive at least one test will be negative

  • 4.4 Gestational diabetes mellitus (GDM) is a condition that causes serious adverse perinatal outcomes in pregnancy....

    4.4 Gestational diabetes mellitus (GDM) is a condition that causes serious adverse perinatal outcomes in pregnancy. It is estimated that approximately 11.7% of women have GDM during pregnancy. A clinic trial was initiated to test a screening method for GDM among 37 pregnant women who had GDM and 33 pregnant women without GDM. The results are listed below Test (+) 36 Test (-) Total 37 Women with GDM Women without GDM 31 a) What is the sensitivity? b) What is...

  • 1. If a random employee is chosen, the probability of selecting an employee who tests positive...

    1. If a random employee is chosen, the probability of selecting an employee who tests positive or who uses drugs is 2. If two employees are selected without replacement of those who use drugs, the probability that the first person selected had a result test positive and the second person had a negative test result is 3. If two employees are selected with replacement for those who use drugs, the probability that the first person selected had a negative test...

  • 1. If a random employee is chosen, the probability of selecting an employee who tests positive...

    1. If a random employee is chosen, the probability of selecting an employee who tests positive or who uses drugs is 2. If two employees are selected without replacement of those who use drugs, the probability that the first person selected had a result test positive and the second person had a negative test result is 3. If two employees are selected with replacement for those who use drugs, the probability that the first person selected had a negative test...

  • Suppose that swine flu (for the purposes of this exercise) affects 1 in 10,000 people in...

    Suppose that swine flu (for the purposes of this exercise) affects 1 in 10,000 people in the U.S. The test is known to have a false positive rate of 0.01 -- that is, 1% of all positive tests are actually negative. The probability of a false negative is zero – that is, 100% of all negative tests are truly negative. You test positive. What is the probability that you actually have the swine flu? Hint: Define the event ? as...

  • The proportion of people in a given community who have a certain disease is 0.005. A...

    The proportion of people in a given community who have a certain disease is 0.005. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.96. If a person does not have the disease, the probability that the test will produce a positive signal is 0.04. 1. If a man tests negative, what is the probability that he actually has the disease? 2. For many...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT